Asymptotic freedom in the lattice Boltzmann theory
Mathematical Physics
2023-08-08 v1 math.MP
Abstract
Asymptotic freedom is a feature of quantum chromodynamics that guarantees its well-posedeness. We derive an analog of asymptotic freedom enabling unconditional stability of lattice Boltzmann simulation of hydrodynamics. For the lattice Boltzmann models of nearly-incompressible flow, we show that the equilibrium based on entropy maximization is uniquely renormalizable. This results in a practical algorithm of constructing unconditionally stable lattice Boltzmann models.
Keywords
Cite
@article{arxiv.2308.03034,
title = {Asymptotic freedom in the lattice Boltzmann theory},
author = {Seyed Ali Hosseini and Ilya Karlin},
journal= {arXiv preprint arXiv:2308.03034},
year = {2023}
}